## Advanced Studies in Pure Mathematics

- Adv. Stud. Pure Math.
- Groups and Combinatorics: In memory of Michio Suzuki, E. Bannai, H. Suzuki, H. Yamaki and T. Yoshida, eds. (Tokyo: Mathematical Society of Japan, 2001), 453 - 464

### Radical subgroups of the sporadic simple group of Suzuki

#### Abstract

For the sporadic Suzuki simple group, the radical $p$-subgroups for $p = 2$ and 3 are classified and the simplicial complex of their chains is shown to be homotopically equivalent to a $p$-local geometry. Further investigation of the related complexes for $p = 2$ gives a counterexample to Conjecture 1 in [4].

#### Article information

**Dates**

Received: 26 March 1999

Revised: 18 May 2000

First available in Project Euclid:
29 December 2018

**Permanent link to this document**

https://projecteuclid.org/
euclid.aspm/1546124720

**Digital Object Identifier**

doi:10.2969/aspm/03210453

**Mathematical Reviews number (MathSciNet)**

MR1893512

**Zentralblatt MATH identifier**

0997.20021

#### Citation

Yoshiara, Satoshi. Radical subgroups of the sporadic simple group of Suzuki. Groups and Combinatorics: In memory of Michio Suzuki, 453--464, Mathematical Society of Japan, Tokyo, Japan, 2001. doi:10.2969/aspm/03210453. https://projecteuclid.org/euclid.aspm/1546124720